x(2-3x)=65

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Solution for x(2-3x)=65 equation: 


Simplifying
x(2 + -3x) = 65
(2 * x + -3x * x) = 65
(2x + -3x2) = 65

Solving
2x + -3x2 = 65

Solving for variable 'x'.

Reorder the terms:
-65 + 2x + -3x2 = 65 + -65

Combine like terms: 65 + -65 = 0
-65 + 2x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
21.66666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-21.66666667' to each side of the equation.
21.66666667 + -0.6666666667x + -21.66666667 + x2 = 0 + -21.66666667

Reorder the terms:
21.66666667 + -21.66666667 + -0.6666666667x + x2 = 0 + -21.66666667

Combine like terms: 21.66666667 + -21.66666667 = 0.00000000
0.00000000 + -0.6666666667x + x2 = 0 + -21.66666667
-0.6666666667x + x2 = 0 + -21.66666667

Combine like terms: 0 + -21.66666667 = -21.66666667
-0.6666666667x + x2 = -21.66666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -21.66666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -21.66666667 + 0.1111111112

Combine like terms: -21.66666667 + 0.1111111112 = -21.5555555588
0.1111111112 + -0.6666666667x + x2 = -21.5555555588

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -21.5555555588

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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